30904854008400 has 720 divisors, whose sum is σ = 113518589970240. Its totient is φ = 7764387840000.

The previous prime is 30904854008341. The next prime is 30904854008401. The reversal of 30904854008400 is 480045840903.

It is a happy number.

30904854008400 is a `hidden beast` number, since 3 + 0 + 90 + 4 + 85 + 400 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×30904854008400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30904854008401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17391588312 + ... + 17391590088.

It is an arithmetic number, because the mean of its divisors is an integer number (157664708292).

Almost surely, 2^{30904854008400} is an apocalyptic number.

30904854008400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30904854008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56759294985120).

30904854008400 is an abundant number, since it is smaller than the sum of its proper divisors (82613735961840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30904854008400 is a wasteful number, since it uses less digits than its factorization.

30904854008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 30904854008400 in words is "thirty trillion, nine hundred four billion, eight hundred fifty-four million, eight thousand, four hundred".